2012 IEEE 31st International Performance Computing and Communications Conference (IPCCC) 2012
DOI: 10.1109/pccc.2012.6407775
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Computing Nash equilibria in bimatrix games: GPU-based parallel support enumeration

Abstract: Abstract-Computing Nash equilibria is a very important problem in strategic analysis of markets, conflicts and resource allocation. Unfortunately, computing these equilibria even for moderately sized games is computationally expensive. To obtain faster execution times it is essential to exploit the available parallelism offered by the currently available massively parallel architectures. To address this issue, we design a GPU-based parallel support enumeration algorithm for computing Nash equilibria in bimatri… Show more

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Cited by 4 publications
(4 citation statements)
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“…Some techniques can be used to reduce the computation time. First, parallel computing can be employed when constructing the game tree since each path in the game tree are independent [44]. Second, some methods, e.g., the parallel branch & bound method [45] and the modified Benders decomposition method [46], can be used to accelerate the convergence of the solution for each path.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…Some techniques can be used to reduce the computation time. First, parallel computing can be employed when constructing the game tree since each path in the game tree are independent [44]. Second, some methods, e.g., the parallel branch & bound method [45] and the modified Benders decomposition method [46], can be used to accelerate the convergence of the solution for each path.…”
Section: Discussionmentioning
confidence: 99%
“…where (44) enforces power balance at each bus in each time period. (45) is the constraint of load shedding.…”
Section: Lower Level Model 1) Objective Functionmentioning
confidence: 99%
“…Like Merge and Odd-Even Sort, Enumeration Sort performs far better in small applications where it can be better parallelized [11], and fails to take advantage of KNN's k parameter. It has lower resource overhead than Merge Sort, which is likely why it performs better than the worst case Merge Sort latencies.…”
Section: Hls Simulationmentioning
confidence: 99%
“…In this work we investigate the problem of multicriteria management and scheduling of malleable tasks [4]. These tasks provide a high level of granularity and parallelisation and have numerous practical applications in scientific and real-life computations [5], [6], [7]. In contrast to previous work that restricted the optimisation criteria for scheduling, the present work investigates algorithms to schedule and efficiently execute malleable computing tasks with high granularity while taking into account multiple optimisation criteria such as resource cost and computation time.…”
Section: Introductionmentioning
confidence: 99%